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Finding the Fourth Proportional to 132,165.96, 182,384.13 and 71,735.30

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Solution

The fourth proportional to 132,165.96, 182,384.13 and 71,735.30 is: 98,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,165.96 : 182,384.13 = 71,735.30 : x
  2. Step 2: Convert to fraction form
    132,165.96/182,384.13 = 71,735.30/x
  3. Step 3: Cross multiply
    132,165.96x = 182,384.13 × 71,735.30
  4. Step 4: Simplify right side
    132,165.96x = 13,083,380,280.79
  5. Step 5: Solve for x
    x = 13,083,380,280.79/132,165.96
  6. Step 6: Final answer
    x = 98,992.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.